Born in Zagreb, six-year-old Cvjetićanin moved to the Yugoslav capital Belgrade along with his parents and sister when his sociologist father Vladimir Cvjetićanin, whose areas of study primarily focused on the social structure of the Yugoslav population, took a management position at the state-owned Ivo Lola Ribar metallurgical factory in the Belgrade suburb of Železnik.

[1] Arriving to Cibona as replacement at shooting guard for Aco Petrović who was away serving his mandatory Yugoslav People's Army (JNA) stint, Cvjetićanin made his club debut in November 1985 during week 5 of the league season versus lowly Sloga Kraljevo, scoring 36 points.

[1] He then saw reduced playing time versus KK Zadar, leading to antagonism with Cibona head coach Željko Pavličević, a temporary conflict that saw Cvjetićanin not show up for the team's post-game meeting in protest.

[1] Together with fellow Yugoslav league youth prospects Dražen Petrović, Stojko Vranković, Velimir Perasović, Zoran Jovanović, Goran Sobin, and Ivo Petović, Partizan player Cvjetićanin made the Rusmir Halilović-coached Yugoslavia junior national team that got silver at the 1982 FIBA European Junior Championship in Dimitrovgrad and Haskovo, Bulgaria.

Cvjetićanin made Yugoslavia's national team for the 1988 Olympics in Seoul led by head coach Dušan Ivković.